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Finding the Fourth Proportional to 103,009.91, 154,238.01 and 65,366.17

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Solution

The fourth proportional to 103,009.91, 154,238.01 and 65,366.17 is: 97,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,009.91 : 154,238.01 = 65,366.17 : x
  2. Step 2: Convert to fraction form
    103,009.91/154,238.01 = 65,366.17/x
  3. Step 3: Cross multiply
    103,009.91x = 154,238.01 × 65,366.17
  4. Step 4: Simplify right side
    103,009.91x = 10,081,947,982.12
  5. Step 5: Solve for x
    x = 10,081,947,982.12/103,009.91
  6. Step 6: Final answer
    x = 97,873.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.